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Finding the Fourth Proportional to 7,804.64, 10,774.32 and 6,032.24

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Solution

The fourth proportional to 7,804.64, 10,774.32 and 6,032.24 is: 8,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.64 : 10,774.32 = 6,032.24 : x
  2. Step 2: Convert to fraction form
    7,804.64/10,774.32 = 6,032.24/x
  3. Step 3: Cross multiply
    7,804.64x = 10,774.32 × 6,032.24
  4. Step 4: Simplify right side
    7,804.64x = 64,993,284.08
  5. Step 5: Solve for x
    x = 64,993,284.08/7,804.64
  6. Step 6: Final answer
    x = 8,327.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.